Search a number
-
+
3042857880 = 233351729749
BaseRepresentation
bin1011010101011110…
…0101001110011000
321212001200012022000
42311113211032120
522212432423010
61221535001000
7135255602526
oct26527451630
97761605260
103042857880
111321683187
1270b069160
1339653bb2a
1420c1a1316
1512c20c7c0
hexb55e5398

3042857880 has 192 divisors, whose sum is σ = 10775700000. Its totient is φ = 763619328.

The previous prime is 3042857869. The next prime is 3042857929. The reversal of 3042857880 is 887582403.

3042857880 is a `hidden beast` number, since 30 + 42 + 8 + 578 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307246 + ... + 316994.

Almost surely, 23042857880 is an apocalyptic number.

3042857880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042857880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387850000).

3042857880 is an abundant number, since it is smaller than the sum of its proper divisors (7732842120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3042857880 is a wasteful number, since it uses less digits than its factorization.

3042857880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9803 (or 9776 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3042857880 is about 55162.1054710568. The cubic root of 3042857880 is about 1449.0850954573.

The spelling of 3042857880 in words is "three billion, forty-two million, eight hundred fifty-seven thousand, eight hundred eighty".